Amalgamated algebra along an ideal defined by \(S\)-Noetherian spectrum-like-conditions

DOI10.1007/S13366-023-00711-0MaRDI QIDQ6600957

Mohammed Issoual

Publication date: 10 September 2024

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

zbMATH Keywords

trivial extensionamalgamated algebras along an idealradically \(S\)-finite idealsrings satisfies \(S\)-Noetherian spectrum

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Chain conditions, finiteness conditions in commutative ring theory (13E99) Commutative ring extensions and related topics (13B99)

Cites Work

• \(S\)-Noetherian properties on amalgamated algebras along an ideal
• \(s\)-Noetherian rings and their extensions
• Idealization of a module
• A construction of Gorenstein rings
• The amalgamated duplication of a ring along a multiplicative-canonical ideal
• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• Rings with Noetherian spectrum
• [[Publication:3448264|S-Noetherian Rings of the Forms 𝒜[X] and 𝒜[[X]]]]
• A Note on S-Noetherian Domains
• Modules with Noetherian Spectrum
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• S-Noetherian spectrum condition
• S-NOETHERIAN RINGS

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